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1965 AMC 12 Question 27

AMC12 · 1965 AMC 12

Question 27

When $y^2+my+2$ is divided by $y-1$ the quotient is $f(y)$ and the remainder is $R_1.$ When $y^2+my+2$ is divided by $y+1$ the quotient is $g(y)$ and the remainder is $R_2.$ If $R_1=R_2,$ then $m$ is:
  1. $0$
  2. $1$
  3. $2$
  4. $-1$
  5. an undetermined constant